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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 64 Issue: 1

Effect of generalized relative order on the growth of composite entire functions

Sanjib Kumar Datta
Tanmay Bıswas
Chinmay Ghosh
Pages
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Publication Date
2015-02-01
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Datta, S. K., Bıswas, T., Ghosh, C. (2015). Effect of generalized relative order on the growth of composite entire functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 64 Issue: 1. https://doi.org/10.1501/Commua1_0000000726

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References (26)

  1. L. Bernal: Crecimiento relativo de funciones enteras. Contribuci´ on al estudio de lasfunciones enteras con ´ ındice exponencial …nito, Doctoral Dissertation, University of Seville, Spain, L. Bernal: Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp.209-229.
  2. J. Clunie: The composition of entire and meromorphic functions, Mathematical Essays dedicated to A. J. Macintyre,Ohio University Press (1970), pp. 75-92.
  3. S. K. Datta and T. Biswas: Growth of entire functions based on relative order, Int. J. Pure Appl. Math., Vol. 51, No. 1 (2009), pp. 49-58.
  4. S. K. Datta and T. Biswas: Relative order of composite entire functions and some related growth properties, Bull. Cal. Math. Soc., Vol.102, No.3 (2010) pp.259-266.
  5. S. K. Datta and A. R. Maji: Relative order of entire functions in terms of their maximum terms, Int. Journal of Math. Analysis, Vol. 5, No. 43 (2011), pp. 2119-2126.
  6. S. K. Datta, T. Biswas and D. C. Pramanik: On relative order and maximum term-related comparative growth rates of entire functions, Journal of Tripura Mathematical Society, Vol.14 (2012), pp. 60-68
  7. S. K. Datta, T. Biswas and R. Biswas: On relative order based growth estimates of entire functions, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 7, No. II (March, ), pp. 59-67. S. K. Datta, T. Biswas and R. Biswas: Comparative growth properties of composite entire functions in the light of their relative order, The Mathematics Student, Vol. 82, No. 1-4 (2013), pp. 1-8.
  8. B. K. Lahiri and D. Banerjee: Generalised relative order of entire functions, Proc. Nat. Acad. Sci. India, Vol. 72(A), No. IV (2002), pp. 351-271.
  9. D. Sato: On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., Vol. 69 (1963), pp. 411-414.
  10. A. P. Singh: On maximum term of composition of entire functions, Proc. Nat. Acad. Sci. India, Vol. 59(A), Part I(1989), pp. 103-115.
  11. A. P. Singh and M. S. Baloria: On the maximum modulus and maximum term of composition of entire functions, Indian J. Pure Appl. Math., Vol. 22, No. 12 (1991), pp. 1019-1026.
  12. E. C. Titchmarsh: The theory of functions, 2nd ed. Oxford University Press, Oxford, (1968).
  13. G. Valiron: Lectures on the General Theory of Integral Functions, Chelsea Publishing Com- pany, (1949).
  14. L. Bernal: Crecimiento relativo de funciones enteras. Contribuci´ on al estudio de lasfunciones enteras con ´ ındice exponencial …nito, Doctoral Dissertation, University of Seville, Spain, L. Bernal: Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp.209-229.
  15. J. Clunie: The composition of entire and meromorphic functions, Mathematical Essays dedicated to A. J. Macintyre,Ohio University Press (1970), pp. 75-92.
  16. S. K. Datta and T. Biswas: Growth of entire functions based on relative order, Int. J. Pure Appl. Math., Vol. 51, No. 1 (2009), pp. 49-58.
  17. S. K. Datta and T. Biswas: Relative order of composite entire functions and some related growth properties, Bull. Cal. Math. Soc., Vol.102, No.3 (2010) pp.259-266.
  18. S. K. Datta and A. R. Maji: Relative order of entire functions in terms of their maximum terms, Int. Journal of Math. Analysis, Vol. 5, No. 43 (2011), pp. 2119-2126.
  19. S. K. Datta, T. Biswas and D. C. Pramanik: On relative order and maximum term-related comparative growth rates of entire functions, Journal of Tripura Mathematical Society, Vol.14 (2012), pp. 60-68
  20. S. K. Datta, T. Biswas and R. Biswas: On relative order based growth estimates of entire functions, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 7, No. II (March, ), pp. 59-67. S. K. Datta, T. Biswas and R. Biswas: Comparative growth properties of composite entire functions in the light of their relative order, The Mathematics Student, Vol. 82, No. 1-4 (2013), pp. 1-8.
  21. B. K. Lahiri and D. Banerjee: Generalised relative order of entire functions, Proc. Nat. Acad. Sci. India, Vol. 72(A), No. IV (2002), pp. 351-271.
  22. D. Sato: On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., Vol. 69 (1963), pp. 411-414.
  23. A. P. Singh: On maximum term of composition of entire functions, Proc. Nat. Acad. Sci. India, Vol. 59(A), Part I(1989), pp. 103-115.
  24. A. P. Singh and M. S. Baloria: On the maximum modulus and maximum term of composition of entire functions, Indian J. Pure Appl. Math., Vol. 22, No. 12 (1991), pp. 1019-1026.
  25. E. C. Titchmarsh: The theory of functions, 2nd ed. Oxford University Press, Oxford, (1968).
  26. G. Valiron: Lectures on the General Theory of Integral Functions, Chelsea Publishing Com- pany, (1949).